Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 175, 812, 39, 517 i.e. 1 largest integer that divides all the numbers equally.
GCD of 175, 812, 39, 517 is 1
GCD(175, 812, 39, 517) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 175, 812, 39, 517 is 1
GCD(175, 812, 39, 517) = 1
Given Input numbers are 175, 812, 39, 517
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Greatest Common Divisior
We found the divisors of 175, 812, 39, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 812, 39, 517 is 1.
Therefore, GCD of numbers 175, 812, 39, 517 is 1
Given Input Data is 175, 812, 39, 517
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 175 is 5 x 5 x 7
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 39 is 3 x 13
Prime Factorization of 517 is 11 x 47
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(175, 812) = 20300
GCD(175, 812) = ( 175 x 812 ) / 20300
GCD(175, 812) = 142100 / 20300
GCD(175, 812) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 39) = 273
GCD(7, 39) = ( 7 x 39 ) / 273
GCD(7, 39) = 273 / 273
GCD(7, 39) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 517
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 517) = 517
GCD(1, 517) = ( 1 x 517 ) / 517
GCD(1, 517) = 517 / 517
GCD(1, 517) = 1
GCD of 175, 812, 39, 517 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 175, 812, 39, 517?
GCD of 175, 812, 39, 517 is 1
2. Where do I get the detailed procedure to find GCD of 175, 812, 39, 517?
You can find a detailed procedure to find GCD of 175, 812, 39, 517 on our page.
3. How to find GCD of 175, 812, 39, 517 on a calculator?
You can find the GCD of 175, 812, 39, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.